Question

Solve the system of equations.

3.x - 2y = 6
5x + 4y = 32
O A. (8,-2)
O B. (4,3)
O C. (2,0)
O D. (6,6)

Answer 1

B

Explanation:

Given the 2 equations

3x - 2y = 6 → (1)

5x + 4y = 32 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

6x - 4y = 12 → (3)

Add (2) and (3) term by term to eliminate y

11x = 44 ( divide both sides by 11 )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (2)

5(4) + 4y = 32

20 + 4y = 32 ( subtract 20 from both sides )

4y = 12 ( divide both sides by 4 )

y = 3

Solution is (4, 3 ) → B